6304764054960 has 240 divisors, whose sum is σ = 24227490680640. Its totient is φ = 1439349626880.

The previous prime is 6304764054947. The next prime is 6304764054971. The reversal of 6304764054960 is 694504674036.

It is a happy number.

6304764054960 is a `hidden beast` number, since 6 + 30 + 4 + 7 + 6 + 4 + 0 + 549 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 6304764054897 and 6304764054906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3423670 + ... + 4932650.

It is an arithmetic number, because the mean of its divisors is an integer number (100947877836).

Almost surely, 2^{6304764054960} is an apocalyptic number.

6304764054960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6304764054960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113745340320).

6304764054960 is an abundant number, since it is smaller than the sum of its proper divisors (17922726625680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6304764054960 is a wasteful number, since it uses less digits than its factorization.

6304764054960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509836 (or 1509827 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 6304764054960 in words is "six trillion, three hundred four billion, seven hundred sixty-four million, fifty-four thousand, nine hundred sixty".